# Null and Alternative Hypotheses

For each of the following pair of null and alternative hypotheses, determine whether the pair would be appropriate for a hypothesis test. If a pair is deemed inappropriate, explain why.

a. Ho: mu/10, H1: mu < 10

b. Ho: mu = 30, H1: mu ≠ 30

c. Ho: mu > 90, H1: mu <= 90

d. Ho: mu <= 75, H1:mu <= 85

e. Ho: x-bar = 15, H1:x-bar < 15

f. Ho: x-bar/58, H1: x-bar ≠ 58

https://brainmass.com/statistics/hypothesis-testing/null-and-alternative-hypotheses-208254

#### Solution Preview

For each of the following pair of null and alternative hypotheses, determine whether the pair would be appropriate for a hypothesis test. If a pair is deemed inappropriate, explain why.

a. Ho: 10, H1: < 10

b. Ho:  = 30, H1:  ≠ 30

c. Ho:  > 90, H1:  90

d. Ho:   75, H1:  85

e. Ho: x-bar 15, H1:x-bar < 15

f. Ho: x-bar = 58, H1: x-bar ≠ 58

A hypothesis test starts with a ...

#### Solution Summary

The solution defines null and alternative hypotheses, and explains whether or not each pair of hypotheses would be appropriate for a hypothesis test.